WorksheetsAlgebra 1 Midterm Review
Total questions: 38
Worksheet time: 8hrs 40mins
Name
Class
Date
1.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
2.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
3.
.
If f(x)=x2,
If f(x)=x2,
a)
Then the blue curve is x2+C
b)
Then the blue curve is (x+C)2
c)
Then the blue curve is Cx2
d)
The the blue curve is x2-C
4.
Which equation matches the graph?
a)
y = 2x + 3
b)
y = -3
c)
y = 2x - 3
d)
y = -3x + 2
5.
If f(x)=3x-9, find f(5).
a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
6.
Find the product.
(m-8)(m-9)
(m-8)(m-9)
a)
m2+17m-72
b)
m2-17m-72
c)
m2-17m+72
d)
m2-72
7.
What is the slope a horizontal line?
a)
-1
b)
undefined
c)
1
d)
0
8.
a)
y≥x−1
b)
y≤x−1
c)
y>x−1
d)
y≤x+1
9.
Give the x-intercept
3x + 8y = 24
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
10.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
11.
True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.
The solution, root, x-intercept, and zero of a problem are all the same thing.
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
12.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
13.
Isolate the radius, r.
C = 2πr
C = 2πr
a)
r = C/2π
b)
r = 2πC
c)
r = 2C/π
d)
r = πC/2
14.
Solve for x:
4(x + 3) – 6(x + 3) = 2x + 10
4(x + 3) – 6(x + 3) = 2x + 10
a)
x = -4
b)
x = 4
c)
x = 7
d)
x = -7
15.
Which of the following shows the correct solution to the inequality?
18 ≥ − 3(4x + 2)
18 ≥ − 3(4x + 2)
a)
x ≤ -2
b)
x ≥ − 2
c)
x ≤ -1
d)
x ≥ − 1
16.
Which of the following is not a correct equation for the linear function that passes through the points (− 2, 5) and (2, 0) ?
a)
5x + 4y = 10
b)
y − 5 =−1.2 (x - 2)
c)
y =−1.2x + 4.2
d)
y =−1.2 (x - 2)
17.
What is the equation of the line that passes through the point (-2,3) and is perpendicular to y = -2x - 5?
a)
x + 2y = 8
b)
x + 2y = -8
c)
x - 2y = 8
d)
x - 2y = -8
18.
What is the effect on the linear parent function, f(x) = x , when f(x) is replaced by 4f(x - 2)?
a)
The function is steeper and translated to the left 2.
b)
The function is steeper and translated to the right 2.
c)
The function is steeper and translated to the up 2.
d)
The function is steeper and translated to the down 2.
19.
Emily wants to figure out the amount of dollars, D, she will spend buying lollipops for her friends. Each lollipop, l , costs $1.50 and there is a $2 one time charge for using a credit card. Which of the following equations models this situation?
a)
D = 1.50l + 2
b)
D = 2l + 1.50
c)
l = 1.50D + 2
d)
l = 2D + 1.50
20.
Jaime has 16 quarters and dimes in her car that are worth a total of $2.35. a. Which system of equation that you could use to determine how many quarters, q, and how many dimes, d, Julie has?
a)
q + d = 16
.25q + .10d = 2.35
.25q + .10d = 2.35
b)
q + d = 2.35
.25q + .10d = 16
.25q + .10d = 16
c)
16(n + d) = 2.35
d)
q + d = 16
25q + 10d = 2.35
25q + 10d = 2.35
21.
Which system of inequalities is represented in the graph?
a)
2x - y ≥ -2
x - y < 2
x - y < 2
b)
2x - y ≤ -2
x - y > 2
x - y > 2
c)
2x - y > -2
x - y ≤ 2
x - y ≤ 2
d)
2x - y < -2
x - y ≥ 2
x - y ≥ 2
22.
Simplify the expression:
x2+ 2(x2 + x - 3) - 10 - 3(2x - 2)
x2+ 2(x2 + x - 3) - 10 - 3(2x - 2)
a)
3x2- 4x - 10
b)
2x2+ 3x - 5
c)
3x2+ 2x - 22
d)
2x2+ 3x - 6
23.
Factor Completely:
15x2 - 60x
15x2 - 60x
a)
(x - 4)(x - 15)
b)
15(x2 + 4x)
c)
15x(x - 4)
d)
Prime
24.
SIMPLIFY
(5n-8)(5n+8)
(5n-8)(5n+8)
a)
25n2-64
b)
10n2
c)
5n2+16
d)
16
25.
Which system of linear inequalities is represented by the graph?
a)
y≤2x-1
y>-2x+3
y>-2x+3
b)
y>2x-1
y≤-2x+3
y≤-2x+3
c)
y<2x-1
y≥-2x+3
y≥-2x+3
d)
y≤2x-1
y>2x+3
y>2x+3
26.
Factor x2+12x+20
a)
(x-4)(x+5)
b)
(x+10)(x+2)
c)
(x-10)(x-2)
d)
(x+4)(x+5)
27.
Factor
x2 - 9x + 18
x2 - 9x + 18
a)
A. (x - 6)(x - 3)
b)
B. (x + 6)(x - 3)
c)
C. (x - 9)(x - 2)
d)
D. (x - 6)(x + 3)
28.
Which property is illustrated by this statement.
8 + 8.3 = 8.3 + 8
8 + 8.3 = 8.3 + 8
a)
Inverse Property of Multiplication
b)
Commutative Property of Additon
c)
Inverse Property of Addition
d)
Associative Property of Addition
29.
Simplify [5(14 - 2)2] / 2
a)
60
b)
30
c)
72
d)
360
30.
What word phrase can you use to represent "5x + 2"?
a)
five times the sum of a number x and two
b)
two times the sum of a number x and five
c)
a number x times the sum of five and two
d)
the sum of five times a number x and two
31.
The school is selling raffle tickets as a fundraiser. The profit from the tickets can be modeled by the equation
p(x) = 3x - 35,
where x is the number of tickets sold. Which best describes the possible domain?
p(x) = 3x - 35,
where x is the number of tickets sold. Which best describes the possible domain?
a)
All real numbers greater than 0.
b)
All whole numbers.
c)
Any rational number greater than 0.
d)
All integers.
32.
Give the domain and range of the relation.
a)
D: {-4, -3, -2, -1, 0, 1, 2, 3}
R: {-3, -2, -1, 0, 1, 2, 3, 4, 5}
R: {-3, -2, -1, 0, 1, 2, 3, 4, 5}
b)
D: {-4, -3, -2, -1, 0, 1, 2, 3}
R: {2, 3, 4, 5}
R: {2, 3, 4, 5}
c)
D: {-4 < x < 3}
R: {2 < y < 5}
R: {2 < y < 5}
d)
D: {-4 < x < 3}
R: {-3 < y < 5}
R: {-3 < y < 5}
33.
Which expression is equivalent to (3x5+ 8x3)−(7x2− 6x3)?
a)
−4x3+14
b)
−4x5+14x3
c)
3x5+14x3−7x2
34.
In a basketball game, Marlene made 16 field goals. Each of the field goals were worth either 2 points or 3 points, and Marlene scored a total of 39 points from field goals.
Let x represent the number of 2-point field goals and y represent the number of 3-point field goals. Write a system of equations in terms of x and y to model the situation.
Let x represent the number of 2-point field goals and y represent the number of 3-point field goals. Write a system of equations in terms of x and y to model the situation.
a)
x+y =16 and 2x + 3y = 39;
x = 9, y = 7
x = 9, y = 7
b)
x + y = 16 and 2x + 3y = 39; x = 7, y = 9
c)
2x + y = 16 and x + 3y = 39; x = 7 and y =9
35.
Which of the following is an example of commutative property?
a)
2x + 5 + 3 = 2x + 8
b)
If 2x + 3 = 5 then 5 = 2x + 3
c)
(2x + 3) + 5 = 2x + (3 + 5)
d)
(2x + 3) + 5 = 5 + (2x + 3)
36.
Dominic sells magazines door to door. He gets paid $15 a day plus $3.50 for every magazine subscription he sells. If the number of magazines he sells is represented by m, which of the following equations could be used to find his total earnings in a day, T.
a)
15m + 3.50 = T
b)
15 + 3.50m = T
c)
15 + 3.50 + m = T
d)
15m = 3.50T
37.
Using the graph pictured, what is the value of f(4)?
a)
-4
b)
0
c)
4
d)
7
38.
Write the equation for the nth term of the sequence.
21, 19, 17, 15, 13, ...
21, 19, 17, 15, 13, ...
a)
23-2n
b)
23+2n
c)
25-2n
d)
21+2n
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